Donald, sorry about the delay. I would need more definative information on Frank to be able to say if he were related to your Joseph V. Pejsa. Joseph's family came from Drhovice, parish of Drazice. I do find, in that location, a Frantisek Pejsa, born Nov. 6, 1850. This would most likely be a close cousin to Joseph.
There were no Pejsa's in the town of Pisek, that I could find.
Frank Pejsa immigrated age 19, arriving in NY on June 9, 1870, sailing on board the AMERICA.